106498752 has 56 divisors (see below), whose sum is σ = 283652976. Its totient is φ = 35263488.

The previous prime is 106498723. The next prime is 106498753. The reversal of 106498752 is 257894601.

It is a super-2 number, since 2×106498752² = 22683968355115008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (106498753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28378 + ... + 31910.

Almost surely, 2^106498752 is an apocalyptic number.

106498752 is a gapful number since it is divisible by the number (12) 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 106498752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141826488).

106498752 is an abundant number, since it is smaller than the sum of its proper divisors (177154224).

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

106498752 is a wasteful number, since it uses less digits than its factorization.

106498752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 106498752 is about 10319.8232543004. The cubic root of 106498752 is about 474.0034538373.

The spelling of 106498752 in words is "one hundred six million, four hundred ninety-eight thousand, seven hundred fifty-two".