100749147840 has 560 divisors, whose sum is σ = 392576937984. Its totient is φ = 24323328000.

The previous prime is 100749147839. The next prime is 100749147869. The reversal of 100749147840 is 48741947001.

It is a happy number.

100749147840 is a `hidden beast` number, since 100 + 74 + 9 + 1 + 478 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87531265 + ... + 87532415.

Almost surely, 2^100749147840 is an apocalyptic number.

100749147840 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 100749147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196288468992).

100749147840 is an abundant number, since it is smaller than the sum of its proper divisors (291827790144).

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

100749147840 is a wasteful number, since it uses less digits than its factorization.

100749147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 100749147840 in words is "one hundred billion, seven hundred forty-nine million, one hundred forty-seven thousand, eight hundred forty".