106077048 has 128 divisors (see below), whose sum is σ = 336407040. Its totient is φ = 27072000.

The previous prime is 106077031. The next prime is 106077067. The reversal of 106077048 is 840770601.

It is a super-2 number, since 2×106077048² = 22504680224788608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 112258 + ... + 113198.

It is an arithmetic number, because the mean of its divisors is an integer number (2628180).

Almost surely, 2^106077048 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 106077048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168203520).

106077048 is an abundant number, since it is smaller than the sum of its proper divisors (230329992).

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

106077048 is a wasteful number, since it uses less digits than its factorization.

106077048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 106077048 is about 10299.3712429449. The cubic root of 106077048 is about 473.3769877523.

The spelling of 106077048 in words is "one hundred six million, seventy-seven thousand, forty-eight".