100974540000 has 480 divisors, whose sum is σ = 341664057504. Its totient is φ = 26091520000.

The previous prime is 100974539999. The next prime is 100974540001. The reversal of 100974540000 is 45479001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100974539999) and next prime (100974540001).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 100974540000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100974540001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 359339860 + ... + 359340140.

Almost surely, 2^100974540000 is an apocalyptic number.

100974540000 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 100974540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170832028752).

100974540000 is an abundant number, since it is smaller than the sum of its proper divisors (240689517504).

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

100974540000 is a wasteful number, since it uses less digits than its factorization.

100974540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 100974540000 in words is "one hundred billion, nine hundred seventy-four million, five hundred forty thousand".