106616400000 has 768 divisors, whose sum is σ = 397583303040. Its totient is φ = 25088000000.

The previous prime is 106616399999. The next prime is 106616400047. The reversal of 106616400000 is 4616601.

106616400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106616400000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 541199902 + ... + 541200098.

Almost surely, 2^106616400000 is an apocalyptic number.

106616400000 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 106616400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198791651520).

106616400000 is an abundant number, since it is smaller than the sum of its proper divisors (290966903040).

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

106616400000 is an equidigital number, since it uses as much as digits as its factorization.

106616400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 106616400000 in words is "one hundred six billion, six hundred sixteen million, four hundred thousand".