106516124 has 48 divisors (see below), whose sum is σ = 226093056. Its totient is φ = 43243200.

The previous prime is 106516103. The next prime is 106516133. The reversal of 106516124 is 421615601.

It is a super-2 number, since 2×106516124² = 22691369343966752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 106516093 and 106516102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14729 + ... + 20735.

It is an arithmetic number, because the mean of its divisors is an integer number (4710272).

Almost surely, 2^106516124 is an apocalyptic number.

It is an amenable number.

106516124 is an abundant number, since it is smaller than the sum of its proper divisors (119576932).

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

106516124 is a wasteful number, since it uses less digits than its factorization.

106516124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6066 (or 6064 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 106516124 is about 10320.6649010614. The cubic root of 106516124 is about 474.0292254705.

The spelling of 106516124 in words is "one hundred six million, five hundred sixteen thousand, one hundred twenty-four".