107192448 has 144 divisors (see below), whose sum is σ = 339489150. Its totient is φ = 32440320.

The previous prime is 107192419. The next prime is 107192461. The reversal of 107192448 is 844291701.

It can be written as a sum of positive squares in only one way, i.e., 95413824 + 11778624 = 9768^2 + 3432^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×107192448² = 22980441816465408, 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 17 ways as a sum of consecutive naturals, for example, 139008 + ... + 139776.

Almost surely, 2^107192448 is an apocalyptic number.

107192448 is a gapful number since it is divisible by the number (18) 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 107192448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169744575).

107192448 is an abundant number, since it is smaller than the sum of its proper divisors (232296702).

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

107192448 is a wasteful number, since it uses less digits than its factorization.

107192448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 107192448 is about 10353.3785789954. The cubic root of 107192448 is about 475.0303921459.

The spelling of 107192448 in words is "one hundred seven million, one hundred ninety-two thousand, four hundred forty-eight".