100672293540 has 768 divisors, whose sum is σ = 386266890240. Its totient is φ = 18986434560.

The previous prime is 100672293539. The next prime is 100672293541. The reversal of 100672293540 is 45392276001.

It is an interprime number because it is at equal distance from previous prime (100672293539) and next prime (100672293541).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (100672293541) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 169767484 + ... + 169768076.

It is an arithmetic number, because the mean of its divisors is an integer number (502951680).

Almost surely, 2^100672293540 is an apocalyptic number.

100672293540 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 100672293540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193133445120).

100672293540 is an abundant number, since it is smaller than the sum of its proper divisors (285594596700).

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

100672293540 is a wasteful number, since it uses less digits than its factorization.

100672293540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 100672293540 in words is "one hundred billion, six hundred seventy-two million, two hundred ninety-three thousand, five hundred forty".