101493504 has 324 divisors, whose sum is σ = 363504960. Its totient is φ = 27095040.

The previous prime is 101493499. The next prime is 101493517. The reversal of 101493504 is 405394101.

101493504 is a `hidden beast` number, since 10 + 149 + 3 + 504 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3273969 + ... + 3273999.

Almost surely, 2^101493504 is an apocalyptic number.

101493504 is a gapful number since it is divisible by the number (14) 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 101493504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181752480).

101493504 is an abundant number, since it is smaller than the sum of its proper divisors (262011456).

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

101493504 is a wasteful number, since it uses less digits than its factorization.

101493504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 101493504 is about 10074.3984435796. The cubic root of 101493504 is about 466.4582180160.

The spelling of 101493504 in words is "one hundred one million, four hundred ninety-three thousand, five hundred four".