106953000 has 256 divisors, whose sum is σ = 416931840. Its totient is φ = 22176000.

The previous prime is 106952987. The next prime is 106953043. The reversal of 106953000 is 359601.

It is a super-2 number, since 2×106953000² = 22877888418000000, which 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 63 ways as a sum of consecutive naturals, for example, 230769 + ... + 231231.

It is an arithmetic number, because the mean of its divisors is an integer number (1628640).

Almost surely, 2^106953000 is an apocalyptic number.

106953000 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 106953000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208465920).

106953000 is an abundant number, since it is smaller than the sum of its proper divisors (309978840).

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

106953000 is a wasteful number, since it uses less digits than its factorization.

106953000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 106953000 is about 10341.8083525078. The cubic root of 106953000 is about 474.6764185845.

It can be divided in two parts, 10695 and 3000, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 106953000 in words is "one hundred six million, nine hundred fifty-three thousand".