102924983201040 has 2880 divisors, whose sum is σ = 487818412623360. Its totient is φ = 18759490928640.

The previous prime is 102924983201039. The next prime is 102924983201041. The reversal of 102924983201040 is 40102389429201.

102924983201040 is a `hidden beast` number, since 1 + 0 + 2 + 92 + 498 + 3 + 20 + 10 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (102924983201039) and next prime (102924983201041).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (102924983201041) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 93824049772 + ... + 93824050868.

It is an arithmetic number, because the mean of its divisors is an integer number (169381393272).

Almost surely, 2^{102924983201040} is an apocalyptic number.

102924983201040 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 102924983201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243909206311680).

102924983201040 is an abundant number, since it is smaller than the sum of its proper divisors (384893429422320).

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

102924983201040 is a wasteful number, since it uses less digits than its factorization.

102924983201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 102924983201040 in words is "one hundred two trillion, nine hundred twenty-four billion, nine hundred eighty-three million, two hundred one thousand, forty".