102032001040 has 40 divisors (see below), whose sum is σ = 237239255448. Its totient is φ = 40810245120.

The previous prime is 102032000999. The next prime is 102032001067. The reversal of 102032001040 is 40100230201.

It can be written as a sum of positive squares in 4 ways, for example, as 51351185664 + 50680815376 = 226608^2 + 225124^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×102032001040² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102032001040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1736950 + ... + 1794730.

Almost surely, 2^102032001040 is an apocalyptic number.

102032001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102032001040 is an abundant number, since it is smaller than the sum of its proper divisors (135207254408).

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

102032001040 is a wasteful number, since it uses less digits than its factorization.

102032001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79867 (or 79861 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 102032001040 its reverse (40100230201), we get a palindrome (142132231241).

The spelling of 102032001040 in words is "one hundred two billion, thirty-two million, one thousand, forty".