101055120 has 80 divisors (see below), whose sum is σ = 314658432. Its totient is φ = 26828800.

The previous prime is 101055107. The next prime is 101055121. The reversal of 101055120 is 21550101.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101055120.

It is not an unprimeable number, because it can be changed into a prime (101055121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62320 + ... + 63920.

Almost surely, 2^101055120 is an apocalyptic number.

101055120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157329216).

101055120 is an abundant number, since it is smaller than the sum of its proper divisors (213603312).

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

101055120 is a wasteful number, since it uses less digits than its factorization.

101055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 101055120 is about 10052.6175695686. The cubic root of 101055120 is about 465.7856529856.

It can be divided in two parts, 10105 and 5120, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 101055120 in words is "one hundred one million, fifty-five thousand, one hundred twenty".