106123536 has 60 divisors (see below), whose sum is σ = 302056560. Its totient is φ = 34772160.

The previous prime is 106123519. The next prime is 106123547. The reversal of 106123536 is 635321601.

106123536 is a `hidden beast` number, since 1 + 0 + 6 + 123 + 536 = 666.

It is a super-2 number, since 2×106123536² = 22524409786286592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2251 + ... + 14741.

It is an arithmetic number, because the mean of its divisors is an integer number (5034276).

Almost surely, 2^106123536 is an apocalyptic number.

106123536 is a gapful number since it is divisible by the number (16) 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 106123536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151028280).

106123536 is an abundant number, since it is smaller than the sum of its proper divisors (195933024).

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

106123536 is a wasteful number, since it uses less digits than its factorization.

106123536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12564 (or 12555 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 106123536 is about 10301.6278325321. The cubic root of 106123536 is about 473.4461297450.

The spelling of 106123536 in words is "one hundred six million, one hundred twenty-three thousand, five hundred thirty-six".