106503953400 has 576 divisors, whose sum is σ = 407426423040. Its totient is φ = 24744960000.

The previous prime is 106503953357. The next prime is 106503953417. The reversal of 106503953400 is 4359305601.

106503953400 is a `hidden beast` number, since 106 + 503 + 9 + 5 + 3 + 40 + 0 = 666.

It is a super-2 number, since 2×106503953400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29739610 + ... + 29743190.

It is an arithmetic number, because the mean of its divisors is an integer number (707337540).

Almost surely, 2^106503953400 is an apocalyptic number.

106503953400 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 106503953400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203713211520).

106503953400 is an abundant number, since it is smaller than the sum of its proper divisors (300922469640).

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

106503953400 is a wasteful number, since it uses less digits than its factorization.

106503953400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 106503953400 in words is "one hundred six billion, five hundred three million, nine hundred fifty-three thousand, four hundred".