102940992 has 252 divisors, whose sum is σ = 372412768. Its totient is φ = 26611200.

The previous prime is 102940991. The next prime is 102940997. The reversal of 102940992 is 299049201.

It is a tau number, because it is divible by the number of its divisors (252).

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 (102940991) 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, 487767 + ... + 487977.

Almost surely, 2^102940992 is an apocalyptic number.

102940992 is a gapful number since it is divisible by the number (12) 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 102940992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186206384).

102940992 is an abundant number, since it is smaller than the sum of its proper divisors (269471776).

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

102940992 is a wasteful number, since it uses less digits than its factorization.

102940992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 102940992 is about 10145.9840331039. The cubic root of 102940992 is about 468.6652821831.

The spelling of 102940992 in words is "one hundred two million, nine hundred forty thousand, nine hundred ninety-two".