106248542400 has 2646 divisors, whose sum is σ = 538632765252. Its totient is φ = 20379340800.

The previous prime is 106248542377. The next prime is 106248542401. The reversal of 106248542400 is 4245842601.

106248542400 is a `hidden beast` number, since 1 + 0 + 6 + 248 + 5 + 4 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2646).

It is a super-2 number, since 2×106248542400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106248542401) by changing a digit.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 8172964794 + ... + 8172964806.

Almost surely, 2^106248542400 is an apocalyptic number.

106248542400 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 106248542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269316382626).

106248542400 is an abundant number, since it is smaller than the sum of its proper divisors (432384222852).

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

106248542400 is a wasteful number, since it uses less digits than its factorization.

106248542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 106248542400 in words is "one hundred six billion, two hundred forty-eight million, five hundred forty-two thousand, four hundred".