1023616400100 has 72 divisors (see below), whose sum is σ = 3384758236608. Its totient is φ = 233969462400.

The previous prime is 1023616400083. The next prime is 1023616400113. The reversal of 1023616400100 is 10046163201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243716091 + ... + 243720290.

It is an arithmetic number, because the mean of its divisors is an integer number (47010531064).

Almost surely, 2^{1023616400100} is an apocalyptic number.

1023616400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023616400100 is an abundant number, since it is smaller than the sum of its proper divisors (2361141836508).

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

1023616400100 is a wasteful number, since it uses less digits than its factorization.

1023616400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487436405 (or 487436398 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 1023616400100 in words is "one trillion, twenty-three billion, six hundred sixteen million, four hundred thousand, one hundred".