106527504000 has 128 divisors (see below), whose sum is σ = 353138834880. Its totient is φ = 28407321600.

The previous prime is 106527503977. The next prime is 106527504023. The reversal of 106527504000 is 405725601.

It is an interprime number because it is at equal distance from previous prime (106527503977) and next prime (106527504023).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106527504000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1061662 + ... + 1157661.

Almost surely, 2^106527504000 is an apocalyptic number.

106527504000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106527504000 is an abundant number, since it is smaller than the sum of its proper divisors (246611330880).

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

106527504000 is an equidigital number, since it uses as much as digits as its factorization.

106527504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219355 (or 2219333 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 106527504000 in words is "one hundred six billion, five hundred twenty-seven million, five hundred four thousand".