106924860 has 216 divisors, whose sum is σ = 392137200. Its totient is φ = 24385536.

The previous prime is 106924847. The next prime is 106924877. The reversal of 106924860 is 68429601.

It is a super-2 number, since 2×106924860² = 22865851372039200, 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 71 ways as a sum of consecutive naturals, for example, 237916 + ... + 238364.

It is an arithmetic number, because the mean of its divisors is an integer number (1815450).

Almost surely, 2^106924860 is an apocalyptic number.

106924860 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 106924860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196068600).

106924860 is an abundant number, since it is smaller than the sum of its proper divisors (285212340).

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

106924860 is a wasteful number, since it uses less digits than its factorization.

106924860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106924860 is about 10340.4477659335. The cubic root of 106924860 is about 474.6347848261.

The spelling of 106924860 in words is "one hundred six million, nine hundred twenty-four thousand, eight hundred sixty".