101054100 has 72 divisors (see below), whose sum is σ = 334159168. Its totient is φ = 23097600.

The previous prime is 101054099. The next prime is 101054101. The reversal of 101054100 is 1450101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101054099) and next prime (101054101).

It is a super-2 number, since 2×101054100² = 20423862253620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101054101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21961 + ... + 26160.

Almost surely, 2^101054100 is an apocalyptic number.

101054100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101054100 is an abundant number, since it is smaller than the sum of its proper divisors (233105068).

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

101054100 is a wasteful number, since it uses less digits than its factorization.

101054100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48145 (or 48138 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 101054100 is about 10052.5668363856. The cubic root of 101054100 is about 465.7840858443.

The spelling of 101054100 in words is "one hundred one million, fifty-four thousand, one hundred".