106451604 has 96 divisors (see below), whose sum is σ = 332057600. Its totient is φ = 28810080.

The previous prime is 106451599. The next prime is 106451629. The reversal of 106451604 is 406154601.

106451604 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 51 + 604 = 666.

It is a super-2 number, since 2×106451604² = 22663887988345632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10659 + ... + 18069.

Almost surely, 2^106451604 is an apocalyptic number.

106451604 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 106451604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166028800).

106451604 is an abundant number, since it is smaller than the sum of its proper divisors (225605996).

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

106451604 is a wasteful number, since it uses less digits than its factorization.

106451604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7450 (or 7442 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106451604 is about 10317.5386599712. The cubic root of 106451604 is about 473.9334949155.

The spelling of 106451604 in words is "one hundred six million, four hundred fifty-one thousand, six hundred four".