102527040 has 448 divisors, whose sum is σ = 433059840. Its totient is φ = 19906560.

The previous prime is 102527023. The next prime is 102527057. The reversal of 102527040 is 40725201.

It is an interprime number because it is at equal distance from previous prime (102527023) and next prime (102527057).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 102526998 and 102527016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1404444 + ... + 1404516.

Almost surely, 2^102527040 is an apocalyptic number.

102527040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216529920).

102527040 is an abundant number, since it is smaller than the sum of its proper divisors (330532800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102527040 is a wasteful number, since it uses less digits than its factorization.

102527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 102527040 is about 10125.5636880126. The cubic root of 102527040 is about 468.0362306672.

The spelling of 102527040 in words is "one hundred two million, five hundred twenty-seven thousand, forty".