109154419920 has 960 divisors, whose sum is σ = 473897668608. Its totient is φ = 21897216000.

The previous prime is 109154419849. The next prime is 109154419937. The reversal of 109154419920 is 29914451901.

109154419920 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 544 + 19 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 123897880 + ... + 123898760.

Almost surely, 2^109154419920 is an apocalyptic number.

109154419920 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 109154419920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236948834304).

109154419920 is an abundant number, since it is smaller than the sum of its proper divisors (364743248688).

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

109154419920 is a wasteful number, since it uses less digits than its factorization.

109154419920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 109154419920 in words is "one hundred nine billion, one hundred fifty-four million, four hundred nineteen thousand, nine hundred twenty".