106772400 has 360 divisors, whose sum is σ = 447749120. Its totient is φ = 23016960.

The previous prime is 106772389. The next prime is 106772429. The reversal of 106772400 is 4277601.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×106772400² = 22800690803520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 478689 + ... + 478911.

Almost surely, 2^106772400 is an apocalyptic number.

106772400 is a gapful number since it is divisible by the number (10) 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 106772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223874560).

106772400 is an abundant number, since it is smaller than the sum of its proper divisors (340976720).

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

106772400 is a wasteful number, since it uses less digits than its factorization.

106772400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 106772400 is about 10333.0731150031. The cubic root of 106772400 is about 474.4090897612.

The spelling of 106772400 in words is "one hundred six million, seven hundred seventy-two thousand, four hundred".