102972038400 has 1728 divisors, whose sum is σ = 481769164800. Its totient is φ = 20901888000.

The previous prime is 102972038387. The next prime is 102972038423. The reversal of 102972038400 is 4830279201.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 944697546 + ... + 944697654.

It is an arithmetic number, because the mean of its divisors is an integer number (278801600).

Almost surely, 2^102972038400 is an apocalyptic number.

102972038400 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 102972038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240884582400).

102972038400 is an abundant number, since it is smaller than the sum of its proper divisors (378797126400).

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

102972038400 is a wasteful number, since it uses less digits than its factorization.

102972038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 102972038400 in words is "one hundred two billion, nine hundred seventy-two million, thirty-eight thousand, four hundred".