106730624 has 256 divisors, whose sum is σ = 308448000. Its totient is φ = 36126720.

The previous prime is 106730623. The next prime is 106730629. The reversal of 106730624 is 426037601.

It is a super-2 number, since 2×106730624² = 22782852198858752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106730621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6278264 + ... + 6278280.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^106730624 is an apocalyptic number.

106730624 is a gapful number since it is divisible by the number (14) 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 106730624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

106730624 is an abundant number, since it is smaller than the sum of its proper divisors (201717376).

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

106730624 is a wasteful number, since it uses less digits than its factorization.

106730624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 106730624 is about 10331.0514469729. The cubic root of 106730624 is about 474.3472089146.

The spelling of 106730624 in words is "one hundred six million, seven hundred thirty thousand, six hundred twenty-four".