106058660880 has 80 divisors (see below), whose sum is σ = 329318654400. Its totient is φ = 28236132864.

The previous prime is 106058660843. The next prime is 106058660923. The reversal of 106058660880 is 88066850601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106058660880² (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213330 + ... + 507569.

It is an arithmetic number, because the mean of its divisors is an integer number (4116483180).

Almost surely, 2^106058660880 is an apocalyptic number.

106058660880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106058660880 is an abundant number, since it is smaller than the sum of its proper divisors (223259993520).

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

106058660880 is a wasteful number, since it uses less digits than its factorization.

106058660880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721528 (or 721522 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 106058660880 in words is "one hundred six billion, fifty-eight million, six hundred sixty thousand, eight hundred eighty".