107190400000 has 528 divisors, whose sum is σ = 295516710720. Its totient is φ = 38707200000.

The previous prime is 107190399991. The next prime is 107190400027. The reversal of 107190400000 is 4091701.

It is a super-2 number, since 2×107190400000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2492799979 + ... + 2492800021.

It is an arithmetic number, because the mean of its divisors is an integer number (559690740).

Almost surely, 2^107190400000 is an apocalyptic number.

107190400000 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 107190400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147758355360).

107190400000 is an abundant number, since it is smaller than the sum of its proper divisors (188326310720).

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

107190400000 is an frugal number, since it uses more digits than its factorization.

107190400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

Adding to 107190400000 its reverse (4091701), we get a palindrome (107194491701).

The spelling of 107190400000 in words is "one hundred seven billion, one hundred ninety million, four hundred thousand".