102993264 has 180 divisors, whose sum is σ = 331885008. Its totient is φ = 29736960.

The previous prime is 102993263. The next prime is 102993269. The reversal of 102993264 is 462399201.

It is a super-2 number, since 2×102993264² = 21215224858747392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102993263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 400624 + ... + 400880.

Almost surely, 2^102993264 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 102993264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165942504).

102993264 is an abundant number, since it is smaller than the sum of its proper divisors (228891744).

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

102993264 is a wasteful number, since it uses less digits than its factorization.

102993264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 102993264 is about 10148.5597007654. The cubic root of 102993264 is about 468.7445959910.

The spelling of 102993264 in words is "one hundred two million, nine hundred ninety-three thousand, two hundred sixty-four".