106070624 has 48 divisors (see below), whose sum is σ = 228641616. Its totient is φ = 48038400.

The previous prime is 106070621. The next prime is 106070639. The reversal of 106070624 is 426070601.

It is a super-2 number, since 2×106070624² = 22501954551498752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106070593 and 106070602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106070621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190154 + ... + 190710.

It is an arithmetic number, because the mean of its divisors is an integer number (4763367).

Almost surely, 2^106070624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106070624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114320808).

106070624 is an abundant number, since it is smaller than the sum of its proper divisors (122570992).

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

106070624 is a wasteful number, since it uses less digits than its factorization.

106070624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 106070624 is about 10299.0593745254. The cubic root of 106070624 is about 473.3674316946.

The spelling of 106070624 in words is "one hundred six million, seventy thousand, six hundred twenty-four".