107054220 has 144 divisors (see below), whose sum is σ = 375647328. Its totient is φ = 22579200.

The previous prime is 107054201. The next prime is 107054221. The reversal of 107054220 is 22450701.

It is a super-2 number, since 2×107054220² = 22921212039616800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107054221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36820 + ... + 39620.

It is an arithmetic number, because the mean of its divisors is an integer number (2608662).

Almost surely, 2^107054220 is an apocalyptic number.

107054220 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 107054220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187823664).

107054220 is an abundant number, since it is smaller than the sum of its proper divisors (268593108).

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

107054220 is a wasteful number, since it uses less digits than its factorization.

107054220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 107054220 is about 10346.7009234828. The cubic root of 107054220 is about 474.8261154854.

The spelling of 107054220 in words is "one hundred seven million, fifty-four thousand, two hundred twenty".