106259798400 has 384 divisors, whose sum is σ = 409758773760. Its totient is φ = 23694950400.

The previous prime is 106259798399. The next prime is 106259798419. The reversal of 106259798400 is 4897952601.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106259798400² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 2735917 + ... + 2774483.

It is an arithmetic number, because the mean of its divisors is an integer number (1067080140).

Almost surely, 2^106259798400 is an apocalyptic number.

106259798400 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 106259798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204879386880).

106259798400 is an abundant number, since it is smaller than the sum of its proper divisors (303498975360).

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

106259798400 is a wasteful number, since it uses less digits than its factorization.

106259798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38642 (or 38625 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 106259798400 in words is "one hundred six billion, two hundred fifty-nine million, seven hundred ninety-eight thousand, four hundred".