106540920 has 192 divisors, whose sum is σ = 365994720. Its totient is φ = 27869184.

The previous prime is 106540909. The next prime is 106540969. The reversal of 106540920 is 29045601.

106540920 is a `hidden beast` number, since 1 + 0 + 654 + 0 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×106540920² = 22701935268892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 942784 + ... + 942896.

Almost surely, 2^106540920 is an apocalyptic number.

106540920 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 106540920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182997360).

106540920 is an abundant number, since it is smaller than the sum of its proper divisors (259453800).

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

106540920 is a wasteful number, since it uses less digits than its factorization.

106540920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106540920 is about 10321.8661103504. The cubic root of 106540920 is about 474.0660058698.

The spelling of 106540920 in words is "one hundred six million, five hundred forty thousand, nine hundred twenty".