105501155101500 has 96 divisors (see below), whose sum is σ = 307737442748736. Its totient is φ = 28086198220800.

The previous prime is 105501155101481. The next prime is 105501155101519. The reversal of 105501155101500 is 5101551105501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105501155101481) and next prime (105501155101519).

It is a super-2 number, since 2×105501155101500² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58414129 + ... + 60193128.

It is an arithmetic number, because the mean of its divisors is an integer number (3205598361966).

Almost surely, 2^{105501155101500} is an apocalyptic number.

105501155101500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105501155101500 is an abundant number, since it is smaller than the sum of its proper divisors (202236287647236).

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

105501155101500 is a wasteful number, since it uses less digits than its factorization.

105501155101500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118607872 (or 118607860 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 30.

The spelling of 105501155101500 in words is "one hundred five trillion, five hundred one billion, one hundred fifty-five million, one hundred one thousand, five hundred".