106953400 has 48 divisors (see below), whose sum is σ = 249359040. Its totient is φ = 42662400.

The previous prime is 106953391. The next prime is 106953401. The reversal of 106953400 is 4359601.

It is a super-2 number, since 2×106953400² = 22878059543120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106953401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120960 + ... + 121840.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2^106953400 is an apocalyptic number.

106953400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106953400 is an abundant number, since it is smaller than the sum of its proper divisors (142405640).

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

106953400 is a wasteful number, since it uses less digits than its factorization.

106953400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 106953400 is about 10341.8276914673. The cubic root of 106953400 is about 474.6770103407.

The spelling of 106953400 in words is "one hundred six million, nine hundred fifty-three thousand, four hundred".