106902144 has 96 divisors (see below), whose sum is σ = 312193440. Its totient is φ = 35105280.

The previous prime is 106902119. The next prime is 106902163. The reversal of 106902144 is 441209601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106902144² = 22856136783593472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81139 + ... + 82445.

It is an arithmetic number, because the mean of its divisors is an integer number (3252015).

Almost surely, 2^106902144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106902144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156096720).

106902144 is an abundant number, since it is smaller than the sum of its proper divisors (205291296).

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

106902144 is a wasteful number, since it uses less digits than its factorization.

106902144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106902144 is about 10339.3493025432. The cubic root of 106902144 is about 474.6011706682.

The spelling of 106902144 in words is "one hundred six million, nine hundred two thousand, one hundred forty-four".