105854638080 has 96 divisors (see below), whose sum is σ = 338652241200. Its totient is φ = 28227895296.

The previous prime is 105854638069. The next prime is 105854638091. The reversal of 105854638080 is 80836458501.

It is an interprime number because it is at equal distance from previous prime (105854638069) and next prime (105854638091).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105854638080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1692175 + ... + 1753614.

Almost surely, 2^105854638080 is an apocalyptic number.

105854638080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105854638080 is an abundant number, since it is smaller than the sum of its proper divisors (232797603120).

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

105854638080 is an equidigital number, since it uses as much as digits as its factorization.

105854638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445819 (or 3445799 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 105854638080 in words is "one hundred five billion, eight hundred fifty-four million, six hundred thirty-eight thousand, eighty".