102150112 has 48 divisors (see below), whose sum is σ = 209330352. Its totient is φ = 49029120.

The previous prime is 102150101. The next prime is 102150119. The reversal of 102150112 is 211051201.

It is a super-2 number, since 2×102150112² = 20869290763225088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102150092 and 102150101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102150119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83328 + ... + 84544.

It is an arithmetic number, because the mean of its divisors is an integer number (4361049).

Almost surely, 2^102150112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102150112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104665176).

102150112 is an abundant number, since it is smaller than the sum of its proper divisors (107180240).

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

102150112 is a wasteful number, since it uses less digits than its factorization.

102150112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 102150112 is about 10106.9338575059. The cubic root of 102150112 is about 467.4619672225.

The spelling of 102150112 in words is "one hundred two million, one hundred fifty thousand, one hundred twelve".