106477560 has 384 divisors, whose sum is σ = 431308800. Its totient is φ = 22256640.

The previous prime is 106477559. The next prime is 106477573. The reversal of 106477560 is 65774601.

106477560 is a `hidden beast` number, since 1 + 0 + 647 + 7 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×106477560² = 22674941567107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2265457 + ... + 2265503.

It is an arithmetic number, because the mean of its divisors is an integer number (1123200).

Almost surely, 2^106477560 is an apocalyptic number.

106477560 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 106477560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215654400).

106477560 is an abundant number, since it is smaller than the sum of its proper divisors (324831240).

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

106477560 is a wasteful number, since it uses less digits than its factorization.

106477560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 106477560 is about 10318.7964414461. The cubic root of 106477560 is about 473.9720113795.

The spelling of 106477560 in words is "one hundred six million, four hundred seventy-seven thousand, five hundred sixty".