106076544 has 256 divisors, whose sum is σ = 355123200. Its totient is φ = 27371520.

The previous prime is 106076533. The next prime is 106076557. The reversal of 106076544 is 445670601.

It is a super-2 number, since 2×106076544² = 22504466373967872, 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 31 ways as a sum of consecutive naturals, for example, 1583199 + ... + 1583265.

It is an arithmetic number, because the mean of its divisors is an integer number (1387200).

Almost surely, 2^106076544 is an apocalyptic number.

106076544 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 106076544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177561600).

106076544 is an abundant number, since it is smaller than the sum of its proper divisors (249046656).

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

106076544 is a wasteful number, since it uses less digits than its factorization.

106076544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 106076544 is about 10299.3467754028. The cubic root of 106076544 is about 473.3762380381.

The spelling of 106076544 in words is "one hundred six million, seventy-six thousand, five hundred forty-four".