106990632 has 160 divisors (see below), whose sum is σ = 347318400. Its totient is φ = 30139776.

The previous prime is 106990601. The next prime is 106990649. The reversal of 106990632 is 236099601.

106990632 is a `hidden beast` number, since 10 + 6 + 9 + 9 + 0 + 632 = 666.

It is a super-2 number, since 2×106990632² = 22893990671518848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 467094 + ... + 467322.

It is an arithmetic number, because the mean of its divisors is an integer number (2170740).

Almost surely, 2^106990632 is an apocalyptic number.

106990632 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 106990632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173659200).

106990632 is an abundant number, since it is smaller than the sum of its proper divisors (240327768).

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

106990632 is a wasteful number, since it uses less digits than its factorization.

106990632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 106990632 is about 10343.6276035055. The cubic root of 106990632 is about 474.7320845571.

The spelling of 106990632 in words is "one hundred six million, nine hundred ninety thousand, six hundred thirty-two".