106615392 has 48 divisors (see below), whose sum is σ = 301397040. Its totient is φ = 32804352.

The previous prime is 106615367. The next prime is 106615423. The reversal of 106615392 is 293516601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106615392² = 22733683622627328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41467 + ... + 43962.

It is an arithmetic number, because the mean of its divisors is an integer number (6279105).

Almost surely, 2^106615392 is an apocalyptic number.

106615392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106615392 is an abundant number, since it is smaller than the sum of its proper divisors (194781648).

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

106615392 is a wasteful number, since it uses less digits than its factorization.

106615392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85455 (or 85447 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 106615392 is about 10325.4729673754. The cubic root of 106615392 is about 474.1764373697.

The spelling of 106615392 in words is "one hundred six million, six hundred fifteen thousand, three hundred ninety-two".